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Finding the Fourth Proportional to 659.14, 908.52 and 472.33

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Solution

The fourth proportional to 659.14, 908.52 and 472.33 is: 651.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.14 : 908.52 = 472.33 : x
  2. Step 2: Convert to fraction form
    659.14/908.52 = 472.33/x
  3. Step 3: Cross multiply
    659.14x = 908.52 × 472.33
  4. Step 4: Simplify right side
    659.14x = 429,120.62
  5. Step 5: Solve for x
    x = 429,120.62/659.14
  6. Step 6: Final answer
    x = 651.03

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.